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Finding the Fourth Proportional to 86,564.33, 119,508.46 and 65,984.83

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Solution

The fourth proportional to 86,564.33, 119,508.46 and 65,984.83 is: 91,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564.33 : 119,508.46 = 65,984.83 : x
  2. Step 2: Convert to fraction form
    86,564.33/119,508.46 = 65,984.83/x
  3. Step 3: Cross multiply
    86,564.33x = 119,508.46 × 65,984.83
  4. Step 4: Simplify right side
    86,564.33x = 7,885,745,416.66
  5. Step 5: Solve for x
    x = 7,885,745,416.66/86,564.33
  6. Step 6: Final answer
    x = 91,096.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.